So, I have been searching for tips on how to maximize the DT score, and the only tip I see is: Play fast, but, how to play fast? Playing our turn faster doesnt make that much diffrence since the enemy always takes ages, and I also read a lot: Lose fast, what does that mean? Shall I win as much rounds as possible in order to get the maximum score even if I lose, or should I just give the enemy the match if I have no chance?

Perhaps cut back on your star count so you can get more points also if you can win 3 rounds per match with a KO you get more points per round, as well as leaveing a pill or 2 if you can afford it with a win
hope this helps also check out http://www.urban-rivals.com/en/help/?category=0
for daily tournament breakdown

The first turn usually takes the longest. having an idea what you will usually play based on what you draw, not on what your opponent has, can speed you up a lot. In the final round, if you're going to win, just use all your pillz but 1. Saves you doing the math and preserves your extra +2 pts.

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